Secondary Education Mathematics Courses
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Education Course Requirements
PSY 12053 | General Psychology (3 Credits)
Introduces basic elements in understanding human behavior. Emphasis on basic concepts and terminology of psychology including the biological basis of behavior, sensation, perception, history of psychology, growth and development, motivation, learning, measurement and scientific methodology, emotion, personality, abnormal behavior, and psychotherapy.
EDU 20100 | Educational Psychology (3 Credits) Designed to acquaint students with knowledge gained from educational psychologists in learning theory and practice, motivation and management, and effective instruction for preK-12 education. Meets required competencies in research, teaching methods and materials, media and technology, teaching effectiveness, interpersonal relations, educational ethics, understanding the learner, teaching-learning process, learning styles, and understanding the relationship between school and home. Emphasis placed on understanding management strategies, motivational techniques and assessments needed to maintain an effective learning environment and academic success. Prerequisites: General Psychology. Note: Required course for all teacher education licensure, certification programs. Required course for the curriculum, and instruction degrees. Transfer credits accepted.
EDU 20200 | Psychology of the Exceptional Child (3 Credits)
Designed to realize various emotional and behavioral disorders, health and physical impairments, and intellectual deviations associated with learners (birth through high school age) who are identified as exceptional. Areas of exceptionality include, but are not limited to the following: ADHD, autism, dyslexia, gifted, etc. Addresses strategies for meeting academic, social and emotional needs of these children and youth within the confines of the classroom (including IEPs and 504Bs). Examines criteria for effectively working with administrators, specialists, support personnel, family, and other resources who impact the educational experiences of these children. Prerequisites: PSY 12053 General Psychology and EDU 20100 Educational Psychology. Note: Required course for all teacher education licensure, certification programs. Required course for the curriculum, and instruction degrees. Transfer credits accepted.
EDU 30100 | Foundations of Schools in Our Society (3 Credits)
Provides an understanding of historical, philosophical and foundational context of education in the United States. Addresses legal aspects, professional educator codes, and concerns surrounding education. Learn how educational policy is formulated and affects classroom practice. Provides opportunities to gain knowledge from a variety of professionals from varied backgrounds. This is the entry course to the School of Education: Teacher Education program. Prerequisites: PSY 12053 General Psychology and EDU 20100 Educational Psychology. Note: Required course for all teacher education licensure, certification programs. Required course for the curriculum, and instruction degrees. Transfer credits accepted.
EDU 35500 | Adolescent Specialized Methods (3 Credits)
Learn about how classrooms and middle and high schools work. Role play and observe instructional activities in action. Realize how different models of schools operate. Work on lesson design and balanced assessments for content specialization. Examine state and national standards for content area. Inspect national and state specialized professional associations. Practice aspects of data driven instruction. Explore aspects of classroom organization and learner motivation. Prerequisites: PSY 12053 General Psychology, EDU 20100 Educational Psychology, one 3-credit hour MAT course prior to enrolling in this course, and Admittance to the School of Education. Co-current enrollment in EDU 36000 Introductory Teaching Practicum. Note: Required course for all secondary and P-12 teacher education majors. Required course for the curriculum and instruction secondary degree. May not be a transferred course.
EDU 36000 | Introductory Teaching Practicum (2 Credits)
Observe and work (plan lessons and activities) under the direction of a school-based setting. On-site mentors and university supervisors will guide this experience. A minimum of 40 hours in the field setting is required. Prerequisites: PSY 12053 General Psychology, EDU 20100 Education Psychology, one 3-credit MAT course, and Admittance to the School of Education. Notes: Co-current enrollment in EDU 35100 Elementary Mathematics Methods (4) or EDU 35500 Adolescent Specialized Methods (3 credits) is required. Candidates must have a 2.8 gpa, initial licensing or certification taken, background check (KS) or IVP card (AZ), and TB test (KS), and Education Department approval. Request for practicum placement must be made the semester prior. Required course for all teacher education licensure, certification programs. Transfer credits not accepted. Course maybe repeated without co-current enrollment.
EDU 38000 | Foundations of Instruction in English Language Learners Classroom (3 Credits) Course examines the acquisition of language and effective strategies for supporting English Language Learners in the classroom. Assessments and instructional strategies align with the ELL proficiency standards and applies sheltered instruction and other instruction approaches within diagnostic, formative, and summative assessments. In addition, the course describes the legal, historical, and educational precedents currently impacting ELL instruction and support within public schools. The course further identifies and uses multiple strategies to improve student achievement by ensuring candidates are able to provide: comprehensible input, ongoing, specific and immediate feedback, various grouping structures and techniques. Human behaviors and community influences such as language shift, self-concept, and the role of life in learning are also reviewed. Prerequisites: PSY 12053 General Psychology, EDU 20100 Educational Psychology and admittance to the School of Education. Notes: Required course for all teacher education licensure, certification programs. A required course option for all curriculum and instruction degrees or EDU 44033 SEI Methods for English Language Learners (3 credits) can be taken instead. Transfer credits accepted.
EDU 40000 | Adolescent Literacy Skills and Reading in the Content Area (3 Credits) Learn to design, implement, and evaluate materials and instructional techniques for early through late adolescent learner. Topics include the pillars of the science of reading, assessing readability of materials across content areas. Learn to evaluate student reading skills, teaching vocabulary, comprehension and study skills, working with at risk students, and incorporating writing into curriculum. Prerequisites: PSY 12053 General Psychology, EDU 20100 Educational Psychology), one 3-credit hour MAT course prior to enrolling in this course, and Admittance to the School of Education. Co-current enrollment in EDU 46000 Advanced Teaching Practicum. Notes: Required course for all secondary (except English/LA) and P-12 teacher education majors and the Curriculum and Instruction Secondary degree. May not be a transferred course.
EDU 40100 | Theoretical and Foundational Knowledge of Structured Literacy Instruction (3 Credits) Identify and apply the theoretical and foundational knowledge for reading, writing, listening, and speaking as set forth in the five pillars of literacy instruction supported by the science of reading research. Realize and apply current evidence-based best practices aligned to the science of reading and utilizes the principles and individual elements of structured literacy (i.e. phonology, alphabetic principle, syllable types and division, morphology, syntax, and semantics) when planning and implementing engaging literacy instruction for Pre-K and elementary students. Develop an understanding of the interrelated components of general literacy and disciplinary specific literacy processes that serve as a foundation for all learning (preK to 8th grade). Prerequisites: PSY 12053 General Psychology, EDU 20100 Educational Psychology, and admittance to the School of Education. Notes: Required course for all elementary education licensure, certification programs. Required course for the Curriculum and Instruction-Elementary degree. Transfer credits not accepted.
EDU 40300 | Structured Literacy Instruction (3 Credits) The teacher candidate recognizes and applies current evidence-based best practices as aligned to the science of reading and utilizes the principles (i.e., explicit, systematic, cumulative, diagnostic, multisensory, and multimodal) and individual elements of structured literacy (i.e., phonology, alphabetic principle, stable types and division, morphology, syntax, and semantics) when planning and implementing engaging literacy instruction for pre-K and early adolescent students. Prerequisites: PSY 12053 General Psychology, EDU 20100 Educational Psychology, and Admittance Letter to the School of Education.
EDU 40500 | Literacy Assessment/Evaluation-All Learners (3 Credits) Realize appropriate and various literacy assessment strategies (phonological awareness, phonics, fluency, vocabulary, reading comprehension, listening comprehension, writing, and emergent literacy) to engage learners (pre-K to early adolescent students) in their own growth. Develop an understanding of the impact of external factors (e.g., language, culture, and socioeconomics) on student learning. Acquire skills to determine how to select, implement, and analyze screening, diagnostic, and progress monitoring data of all learners. Language acquisition and literacy development for instruction. Learn to use appropriate data for accountability purposes, to identify students with specific difficulties and disabilities (such as but not limited to dyslexia and dysgraphia), and to create individualized interventions. Prerequisites: EDU 40100 Theoretical/Foundational Knowledge of Structured Literacy Instruction and EDU 40300 Structured Literacy Instruction.
EDU 46000 | Advanced Teaching Practicum (2 Credits) Observe and work under the direction of a school-based setting. On-site mentors and university supervisors will guide this experience. A minimum of 60 hours in the field setting is required. Prerequisites: PSY 12053 General Psychology, EDU 20100 Educational Psychology, one 3-credit hour MAT course, and Admittance to the School of Education. Notes: Co-current enrollment in EDU 40100 Theoretical and Foundational Knowledge of Structured Literacy Instruction (3 credits) for elementary education majors and EDU 40200 Literacy Assessment and Evaluation of Diverse Learners (3 credits) is required for elementary education majors and secondary education English majors. Co-current enrollment in EDU 40000 Adolescent Literacy Skills and Reading in the Content Area (3 credits) is required for preK-12 (art, PE, and music) and secondary education majors (business, biology, history and mathematics). Candidates must have a 3.0 gpa, initial licensing or certification taken, background check (KS) or IVP card (AZ), and TB test (KS), and Education Department approval. Request for practicum placement must be made the semester prior. Course may be repeated without co-current enrollment.
EDU 49000 | Reflective Practice (6 Credits) Reflective Practice activities associated with preservice student teaching experiences or teacher apprenticeship culmination. Activities include reflective journals, disposition reflections and components of identifying present and future professional development needs. On-site mentors and university supervisors will guide this experience. This is a school classroom-based experience. Prerequisites: Completion of all teacher education preparation coursework prior to engaging in the student teaching experience. Candidates must have a 3.0 gpa, initial licensing or certification taken, background check (KS) or IVP card (AZ), and TB test (KS), and Education Department approval. Request for student teaching placement must be made the semester prior to student teaching. Notes: Required course for all teacher education licensure, certification programs. Transfer credits not accepted.
EDU 49500 | Clinical Lab (6 Credits) Reflective Clinical Practice activities associated with preservice student teaching experiences or teacher apprenticeship culmination. On-site mentors and university supervisors will guide this experience. Activities include, observations, feedback evaluations, planning and designing, implementing, and assessing lessons and instructional units. This is a school classroom-based experience. Prerequisites: Completion of all teacher education preparation coursework prior to engaging in the student teaching experience. Candidates must have a 3.0 gpa, initial licensing or certification taken, background check (KS) or IVP card (AZ), and TB test (KS), and Education Department approval. Request for student teaching placement must be made the semester prior to student teaching. Notes: Required course for all teacher education licensure, certification programs. Transfer credits not accepted.
EDU 49900 | Action Research and Assessment (3 Credits) Capstone activities associated with preservice student teaching experiences or teacher apprenticeship culmination. Activities may include, but not limited to, professional development in trauma informed care, ELL instruction, dyslexia, balanced assessments, life-career balance and parent-community involvement. Final teaching worksample portfolio (action research) will be submitted in this course. Other programming gaps may be covered in this course. This is a classroom-based experience. Prerequisites: Completion of all teacher education preparation coursework prior to engaging in the student teaching experience. Candidates must have a 3.0 gpa, initial licensing or certification exams taken, background check (KS) or IVP card (AZ), and TB test (KS), and Education Department approval. Co-current enrollment in EDU 49500 Clinical Lab is required. Notes: Required course for all teacher education licensure, certification programs. Required course for the curriculum and instruction degrees. May not be a transferred course.
Content Requirements
MAT 20043 | Discrete Mathematics (3 Credits) Offers an intuitive exposure to mathematical concepts useful in a wide variety of disciplines. The course focuses on concepts associated with propositional logic. Prerequisite: Score of 16 on math placement exam non-math track or Score of 7 on math placement exam math track or MAT 10443 Intermediate Algebra.
MAT 21044 | Calculus I (4 Credits) First in a series of three courses that offers an intuitive approach to the major concepts and techniques of single-variable calculus. Topics include limits, continuity, derivatives of elementary functions and their application, extrema, optimization, elementary integration applications, the Fundamental Theorem of Calculus, and I'Hospital's rule. Prerequisite: Score of 16 on math-track initial placement OR a "C" or better in MAT 11143 Precalculus.
MAT 21144 | Calculus II (4 Credits) Second course in a series of three courses that offers an intuitive approach to the major concepts and techniques of single-variable calculus. Topics covered include techniques of integration, integration applications, first-order linear and first-order seperable differential equations, sequences, series, convergence tests, power series, and the calculus of parametric and polar equations. Prerequisite: A "C" or better in MAT 21044 Calculus I (or equivalent).
MAT 22043 | Linear Algebra (4 Credits) Developmental course on the abstraction of vector spaces and linear transformations. Topics to be covered include vector spaces, linear transformations, systems of linear equations, matrices and their properties, determinants, quadratic forms, eigenvalues and eigenvectors, the Gram-Schmidt process, and the Jordan canonical form. Prerequisite: A "C" or better in MAT 21044 Calculus I (or equivalent).
MAT 26043 | College Geometry (3 Credits) Introduces the student of mathematics to formal proof using geometric properties. The course explores problem solving strategies using geometry, formal synthetic Euclidean geometry, and informal non-Euclidian geometrics. Prerequisite: A "C" or better in MAT 21044 Calculus I (or equivalent).
MAT 31143 | Probability (4 Credits) An intuitive study of calculus based probability and its application to inferential statistics. Topics covered include discrete, continuous, and bivariate random variables and their distribution, expectations, conditional expectation, Bayes' Rule, moment generating functions, covariance, variance, distributions for functions of random variables, order statistics and their distribution, correlation, and least squares regression modeling. Prerequisite: A "C" or better in MAT 21144 Calculus II (or equivalent).
MAT 30243 | Transition to Higher Mathematics (3 Credits) Emphasizes the enhancement of the student's ability to write and comprehend mathematical proof. The course takes a rigorous look at standard methods of proof and their validity. Prerequisite: A "C" or better in both MAT 20043 Discrete Mathematics and MAT 21144 Calculus II.
MAT 30244 | Inferential Statistics (4 Credits) Offers a calculus based intuitive treatment of inferential statistics structure. Applications include point estimation, single parameter and two-sample hypothesis testing, power, Neyman-Pearson Lemma, p-value, beta, ANOVA, randomized block analysis and design, Goodness-of-Fit, Wilcoxon Sign test, Mann-Whitney U test, Friedman Test, Kruskal-Wallis H Test, and rank correlation coefficient. Prerequisite: A "C" or better in MAT 31143 Probability (or equivalent).
MAT 33043 | Differential Equations (3 Credits) Explores various techniques for finding solutions to first- and second-order differential equations. Topics covered include first-order differential equations, first-order systems, linear systems, nonlinear systems, Laplace Transforms, and the Runge-Kutta numerical method. Prerequisite: A "C" or better in MAT 21144 Calculus II (or equivalent).
MAT 42413 | Abstract Algebra (4 Credits) Develops rigorous understanding of algebraic structures. Students construct and critique proof of properties concerning finite groups, finite simple groups, rings, integral domains, fields, polynomial rings, ring factorization, extension fields, finite fields, Sylow Theorems, and Lagrange's Theorem. Prerequisite: A "C" or better in MAT 30243 Transitions to Higher Mathematics.
Suggested Electives
EDU 10100 | Introduction to Teaching (3 Credits) Explores current and future and teaching professions. Introduces teacher education career opportunities. Learn about topics such as reflective inquiry, standards driven classrooms, use of technology, and various learners, including codes and practices in the classroom setting.
EDU 30500/30924 | Adolescent Literature (3 Credits)
Examines a wide range of literary works appropriate to readers of middle school and high school age. Study of types and themes of adolescent literature and issues related to its use in school programs. Designed for teachers, librarians and parents. Notes: Required for secondary English education majors and the curriculum and the instruction secondary degree. Elective for other teacher education majors and open to other students seeking a likeminded major. Can be a transferred course. May be taken with EDU 49000, EDU 49500, and EDU 49900.
EDC 5700 | Best Instructional Practices (3 Credits) Explores challenges of teachers in evaluating the nees of individual students in the classroom. Learn to innovate possibilities for instruction to enhance learning for all students. Realize the benefits of personalized instruction. Notes: Required for curriculum and instruction majors; highly recommended elective for other teacher education majors. May not be a transferred course. Bridge course to masters programs. May be taken with EDU 49000, EDU 49500, and EDU 49900.
State-Specific Requirements (Arizona Only)
HPS 30151 | Arizona Constitution (1 Credit) Overview of Arizona's history and constitution from territorial days to the present.
HPS 30251 | United States Constitution (1 Credit) Overview of the history of the United States Consitution to establish a foundation of understanding.
EDU 44033 | SEI Methods for English Language Learners II (3 Credits) Examine the format and alignment of ELL Proficiency Standards to the Arizona Language Arts Academic Standards. Analyze and apply disaggregated data to integrate instruction as well as diagnostic, formative, and summative assessments for ELLs. Describe the legal, historical, and educational reasons for SEI. Further identify and use multiple strategies to improve student achievement by integrating: 1. comprehensible input 2. ongoing, specific and immediate feedback 3. grouping structures and techniques 4. building background and vocabulary development and 5. integrating student engagement. Scrutinize various influences on ELLs such as language shift, self-concept, and the role of family and community in learning. Prerequisites: Admittances to the School of Education and EDU 31233 Educational Psychology.
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